Practical Stability of Impulsive Discrete Systems with Time Delays
The purpose of this paper is to investigate the practical stability problem for impulsive discrete systems with time delays. By using Lyapunov functions and the Razumikhin-type technique, some criteria which guarantee the practical stability and uniformly asymptotically practical stability of the ad...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/954121 |
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| _version_ | 1850224318099750912 |
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| author | Liangji Sun Chengyan Liu Xiaodi Li |
| author_facet | Liangji Sun Chengyan Liu Xiaodi Li |
| author_sort | Liangji Sun |
| collection | DOAJ |
| description | The purpose of this paper is to investigate the practical stability problem for impulsive discrete systems with time delays. By using Lyapunov functions and the Razumikhin-type technique, some criteria which guarantee the practical stability and uniformly asymptotically practical stability of the addressed systems are provided. Finally, two examples are presented to illustrate the criteria. |
| format | Article |
| id | doaj-art-509be2cf42b4490f8cb0382c5ae2bddc |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-509be2cf42b4490f8cb0382c5ae2bddc2025-08-20T02:05:40ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/954121954121Practical Stability of Impulsive Discrete Systems with Time DelaysLiangji Sun0Chengyan Liu1Xiaodi Li2Department of Computer Science, Shaanxi Vocational & Technical College, Xi'an 710100, ChinaDepartment of Mathematics, Shandong Normal University, Ji'nan 250014, ChinaDepartment of Mathematics, Shandong Normal University, Ji'nan 250014, ChinaThe purpose of this paper is to investigate the practical stability problem for impulsive discrete systems with time delays. By using Lyapunov functions and the Razumikhin-type technique, some criteria which guarantee the practical stability and uniformly asymptotically practical stability of the addressed systems are provided. Finally, two examples are presented to illustrate the criteria.http://dx.doi.org/10.1155/2014/954121 |
| spellingShingle | Liangji Sun Chengyan Liu Xiaodi Li Practical Stability of Impulsive Discrete Systems with Time Delays Abstract and Applied Analysis |
| title | Practical Stability of Impulsive Discrete Systems with Time Delays |
| title_full | Practical Stability of Impulsive Discrete Systems with Time Delays |
| title_fullStr | Practical Stability of Impulsive Discrete Systems with Time Delays |
| title_full_unstemmed | Practical Stability of Impulsive Discrete Systems with Time Delays |
| title_short | Practical Stability of Impulsive Discrete Systems with Time Delays |
| title_sort | practical stability of impulsive discrete systems with time delays |
| url | http://dx.doi.org/10.1155/2014/954121 |
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